Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Calculator

✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.ⓘ Critical Temperature For Clausius Model [T'_c]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%
✖Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure of Real Gas [P'_c]			+10% -10%
✖Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter a [a]			+10% -10%
✖Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter b for Real Gas [b']			+10% -10%
✖Reduced Molar Volume for Real Gas of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume for Real Gas [V'_m,r]			+10% -10%

✖Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters [V_m,c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Clausius Model of Real Gas Formula PDF PDF Image

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Molar Volume = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/(Reduced Temperature*Critical Temperature For Clausius Model))))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas
V_m,c = ((([R]*(T_r*T'_c))/((P_r*P'_c)+(a/(T_r*T'_c))))+b')/V'_m,r
This formula uses 1 Constants, 8 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Molar Volume - (Measured in Cubic Meter per Mole) - Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Critical Temperature For Clausius Model - (Measured in Kelvin) - Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Critical Pressure of Real Gas - (Measured in Pascal) - Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Clausius Parameter b for Real Gas - Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Reduced Molar Volume for Real Gas - Reduced Molar Volume for Real Gas of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

STEP 1: Convert Input(s) to Base Unit

Reduced Temperature: 10 --> No Conversion Required
Critical Temperature For Clausius Model: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
Critical Pressure of Real Gas: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Clausius Parameter a: 0.1 --> No Conversion Required
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required
Reduced Molar Volume for Real Gas: 8.96 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m,c = ((([R]*(T_r*T'_c))/((P_r*P'_c)+(a/(T_r*T'_c))))+b')/V'_m,r --> ((([R]*(10*154.4))/((0.8*4600000)+(0.1/(10*154.4))))+0.00243)/8.96

Evaluating ... ...

V_m,c = 0.000660542334354458

STEP 3: Convert Result to Output's Unit

0.000660542334354458 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

0.000660542334354458 ≈ 0.000661 Cubic Meter per Mole <-- Critical Molar Volume

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Kinetic Theory of Gases » Real Gas » Clausius Model of Real Gas » Critical Molar Volume » Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters

Credits

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has verified this Calculator and 500+ more calculators!

< Critical Molar Volume Calculators

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters

LaTeX Go Critical Molar Volume = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/(Reduced Temperature*Critical Temperature For Clausius Model))))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas

Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters

LaTeX Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas

Critical Molar Volume using Clausius Equation given Actual and Critical Parameters

LaTeX Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Formula

LaTeX Go

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters?

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters calculator uses Critical Molar Volume = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/(Reduced Temperature*Critical Temperature For Clausius Model))))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas to calculate the Critical Molar Volume, The Critical Molar Volume using Clausius equation given reduced and critical parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole. Critical Molar Volume is denoted by V_m,c symbol.

How to calculate Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters, enter Reduced Temperature (T_r), Critical Temperature For Clausius Model (T'_c), Reduced Pressure (P_r), Critical Pressure of Real Gas (P'_c), Clausius Parameter a (a), Clausius Parameter b for Real Gas (b') & Reduced Molar Volume for Real Gas (V'_m,r) and hit the calculate button. Here is how the Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters calculation can be explained with given input values -> 0.000528 = ((([R]*(10*154.4))/((0.8*4600000)+(0.1/(10*154.4))))+0.00243)/8.96.

FAQ

What is Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters?

The Critical Molar Volume using Clausius equation given reduced and critical parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole and is represented as V_m,c = ((([R]*(T_r*T'_c))/((P_r*P'_c)+(a/(T_r*T'_c))))+b')/V'_m,r or Critical Molar Volume = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/(Reduced Temperature*Critical Temperature For Clausius Model))))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas. Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature, Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas, Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Reduced Molar Volume for Real Gas of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

How to calculate Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters?

The Critical Molar Volume using Clausius equation given reduced and critical parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole is calculated using Critical Molar Volume = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/(Reduced Temperature*Critical Temperature For Clausius Model))))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas. To calculate Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters, you need Reduced Temperature (T_r), Critical Temperature For Clausius Model (T'_c), Reduced Pressure (P_r), Critical Pressure of Real Gas (P'_c), Clausius Parameter a (a), Clausius Parameter b for Real Gas (b') & Reduced Molar Volume for Real Gas (V'_m,r). With our tool, you need to enter the respective value for Reduced Temperature, Critical Temperature For Clausius Model, Reduced Pressure, Critical Pressure of Real Gas, Clausius Parameter a, Clausius Parameter b for Real Gas & Reduced Molar Volume for Real Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search